Fourier Series of Circle Embeddings

Leonid Vladimirovich Kovalev; Xuerui Yang

doi:10.1007/s40315-019-00263-2

Fourier Series of Circle Embeddings

Leonid Vladimirovich Kovalev, Xuerui Yang

Department of Mathematics

Research output: Contribution to journal › Article

1 Scopus citations

Abstract

We study the Fourier series of circle homeomorphisms and circle embeddings, with an emphasis on the Blaschke product approximation and the vanishing of Fourier coefficients. The analytic properties of the Fourier series are related to the geometry of the circle embeddings, and have implications for the curvature of minimal surfaces.

Original language	English (US)
Pages (from-to)	323-340
Number of pages	18
Journal	Computational Methods and Function Theory
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s40315-019-00263-2
State	Published - Jun 1 2019

Keywords

Blaschke products
Circle embeddings
Circle homeomorphisms
Fourier series
Harmonic maps

ASJC Scopus subject areas

Analysis
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s40315-019-00263-2

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Kovalev, L. V., & Yang, X. (2019). Fourier Series of Circle Embeddings. Computational Methods and Function Theory, 19(2), 323-340. https://doi.org/10.1007/s40315-019-00263-2

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